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Finding the Fourth Proportional to 991.24, 1,487.70 and 414.52

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Solution

The fourth proportional to 991.24, 1,487.70 and 414.52 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.24 : 1,487.70 = 414.52 : x
  2. Step 2: Convert to fraction form
    991.24/1,487.70 = 414.52/x
  3. Step 3: Cross multiply
    991.24x = 1,487.70 × 414.52
  4. Step 4: Simplify right side
    991.24x = 616,681.40
  5. Step 5: Solve for x
    x = 616,681.40/991.24
  6. Step 6: Final answer
    x = 622.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.